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MathNet 2007-part-03 — 185 problems (EN–VI) Question 144

Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)

Question 144

$ABCD$ is a convex quadrilateral such that $AB \lt AD$. The diagonal $\overline{AC}$ bisects $\angle BAD$, and $m \angle ABD = 130^{\circ}$. Let $E$ be a point on the interior of $\overline{AD}$, and $m \angle BAD = 40^{\circ}$. Given that $BC = CD = DE$, determine $m \angle ACE$ in degrees.